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Finding the Fourth Proportional to 13,715.53, 18,927.80 and 7,748.08

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Solution

The fourth proportional to 13,715.53, 18,927.80 and 7,748.08 is: 10,692.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,715.53 : 18,927.80 = 7,748.08 : x
  2. Step 2: Convert to fraction form
    13,715.53/18,927.80 = 7,748.08/x
  3. Step 3: Cross multiply
    13,715.53x = 18,927.80 × 7,748.08
  4. Step 4: Simplify right side
    13,715.53x = 146,654,108.62
  5. Step 5: Solve for x
    x = 146,654,108.62/13,715.53
  6. Step 6: Final answer
    x = 10,692.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.